Solved Exercises on Two Digit Addition No Regrouping Word Problems in Grade 2

Master two digit addition no regrouping word problems: solving real-life scenarios with two-digit numbers that don't require carrying through these 5 detailed exercises.

Solution: Exercises 1 to 3
1 School Supplies Problem
Exercise 1
Sarah has 24 pencils and Tom has 35 pencils. How many pencils do they have altogether?
Definition:

Two Digit Addition No Regrouping: Adding two-digit numbers where the sum of ones digits is less than 10, requiring no carrying.

Word Problem Solving Method:
  1. Read the problem carefully
  2. Identify the numbers to add
  3. Check if regrouping is needed
  4. Add the tens and ones separately
  5. Combine the results
Problem
24 + 35
Decompose
20+4 + 30+5
Add by place
50+9=59
Step 1: Identify what we need to find

We need to find the total number of pencils

Step 2: Identify the numbers to add

Sarah has 24 pencils, Tom has 35 pencils

Step 3: Check if regrouping is needed

Ones: 4 + 5 = 9 (less than 10, no regrouping needed)

Step 4: Add the tens and ones separately

Tens: 20 + 30 = 50, Ones: 4 + 5 = 9

24 + 35 = 59
Final answer:

Sarah and Tom have 59 pencils altogether.

Applied rules:

• No Regrouping: When ones sum to less than 10, no carrying is needed

• Place Value Addition: Add digits with the same place value

• Word Problem Strategy: Identify key information and operations needed

2 Fruit Collection Problem
Exercise 2
Emma picked 42 apples from the tree and her brother picked 16 apples. How many apples did they pick in total?
Definition:

Two Digit Addition No Regrouping: Adding two-digit numbers where the sum of ones digits is less than 10, requiring no carrying.

Problem
42 + 16
Decompose
40+2 + 10+6
Add by place
50+8=58
Step 1: Identify what we need to find

We need to find the total number of apples picked

Step 2: Identify the numbers to add

Emma picked 42 apples, brother picked 16 apples

Step 3: Check if regrouping is needed

Ones: 2 + 6 = 8 (less than 10, no regrouping needed)

Step 4: Add the tens and ones separately

Tens: 40 + 10 = 50, Ones: 2 + 6 = 8

Step 5: Combine the results

50 + 8 = 58

42 + 16 = 58
Final answer:

Emma and her brother picked 58 apples in total.

Applied rules:

• No Regrouping: When ones sum to less than 10, no carrying is needed

• Place Value Addition: Add digits with the same place value

• Word Problem Strategy: Identify key information and operations needed

3 Reading Pages Problem
Exercise 3
Jake read 33 pages on Monday and 24 pages on Tuesday. How many pages did he read in total?
Definition:

Two Digit Addition No Regrouping: Adding two-digit numbers where the sum of ones digits is less than 10, requiring no carrying.

Problem
33 + 24
Decompose
30+3 + 20+4
Add by place
50+7=57
Step 1: Identify what we need to find

We need to find the total number of pages read

Step 2: Identify the numbers to add

Jake read 33 pages on Monday, 24 pages on Tuesday

Step 3: Check if regrouping is needed

Ones: 3 + 4 = 7 (less than 10, no regrouping needed)

Step 4: Add the tens and ones separately

Tens: 30 + 20 = 50, Ones: 3 + 4 = 7

Step 5: Combine the results

50 + 7 = 57

33 + 24 = 57
Final answer:

Jake read 57 pages in total.

Applied rules:

• No Regrouping: When ones sum to less than 10, no carrying is needed

• Place Value Addition: Add digits with the same place value

• Word Problem Strategy: Identify key information and operations needed

Rules and methods, laws,...
24 + 35 = 59 (no regrouping needed)
No Regrouping Addition
Rule 1
No Regrouping
Ones sum < 10
Rule 2
Place Value
Add same place values
Rule 3
Word Problems
Identify key info
Key definitions:

Two Digit Addition No Regrouping: Adding two-digit numbers where the sum of ones digits is less than 10, requiring no carrying

Regrouping: Converting 10 ones to 1 ten (not needed here)

Word Problems: Real-life scenarios that require mathematical operations to solve

Place Value: The value of a digit based on its position in a number

Complete methodology:
  1. Read carefully: Understand what the problem is asking
  2. Identify numbers: Find the two-digit numbers to add
  3. Check for regrouping: See if ones digits sum to 10 or more
  4. Add by place: Add tens and ones separately
  5. Combine results: Put tens and ones together
Tip 1: Always check if the ones digits add up to less than 10 to confirm no regrouping is needed.
Tip 2: Look for key words like "total," "altogether," "in all" to identify addition problems.
Tip 3: Draw pictures or use base-10 blocks to visualize the problem.
Tip 4: Always write your answer in a complete sentence that addresses the question.
Common errors: Forgetting to check if regrouping is needed, adding tens and ones together before completing operations, misreading the problem.
Key strategies: Practice identifying key words in word problems, visualize with manipulatives, check answers by re-reading the problem.
No regrouping rules:

• When adding ones digits: if sum < 10, no regrouping needed

• Add tens and ones separately

• Combine the sums at the end

• Always check your answer makes sense in the context of the problem

Solution: Exercises 4 to 5
4 Toy Cars Problem
Exercise 4
Michael has 51 toy cars and his friend has 28 toy cars. How many toy cars do they have together?
Definition:

Two Digit Addition No Regrouping: Adding two-digit numbers where the sum of ones digits is less than 10, requiring no carrying.

Problem
51 + 28
Decompose
50+1 + 20+8
Add by place
70+9=79
Step 1: Identify what we need to find

We need to find the total number of toy cars

Step 2: Identify the numbers to add

Michael has 51 toy cars, friend has 28 toy cars

Step 3: Check if regrouping is needed

Ones: 1 + 8 = 9 (less than 10, no regrouping needed)

Step 4: Add the tens and ones separately

Tens: 50 + 20 = 70, Ones: 1 + 8 = 9

Step 5: Combine the results

70 + 9 = 79

51 + 28 = 79
Final answer:

Michael and his friend have 79 toy cars together.

Applied rules:

• No Regrouping: When ones sum to less than 10, no carrying is needed

• Place Value Addition: Add digits with the same place value

• Word Problem Strategy: Identify key information and operations needed

5 Garden Plants Problem
Exercise 5
In Mrs. Johnson's garden, there are 45 tomato plants and 32 pepper plants. How many plants are there in total?
Definition:

Two Digit Addition No Regrouping: Adding two-digit numbers where the sum of ones digits is less than 10, requiring no carrying.

Problem
45 + 32
Decompose
40+5 + 30+2
Add by place
70+7=77
Step 1: Identify what we need to find

We need to find the total number of plants

Step 2: Identify the numbers to add

There are 45 tomato plants and 32 pepper plants

Step 3: Check if regrouping is needed

Ones: 5 + 2 = 7 (less than 10, no regrouping needed)

Step 4: Add the tens and ones separately

Tens: 40 + 30 = 70, Ones: 5 + 2 = 7

Step 5: Combine the results

70 + 7 = 77

45 + 32 = 77
Final answer:

There are 77 plants in total in Mrs. Johnson's garden.

Applied rules:

• No Regrouping: When ones sum to less than 10, no carrying is needed

• Place Value Addition: Add digits with the same place value

• Word Problem Strategy: Identify key information and operations needed

Two Digit Addition No Regrouping Word Problems Concepts
24 + 35 = 59 (no regrouping needed)
No Regrouping Addition
Key definitions:

Two Digit Addition No Regrouping: Adding two-digit numbers where the sum of ones digits is less than 10, requiring no carrying

Word Problems: Real-life scenarios that require mathematical operations to solve

Place Value: The value of a digit based on its position in a number

Regrouping: Converting 10 ones to 1 ten (not needed in these problems)

Complete methodology:
  1. Read carefully: Understand what the problem is asking
  2. Identify numbers: Find the two-digit numbers to add
  3. Check for regrouping: See if ones digits sum to 10 or more
  4. Add by place: Add tens and ones separately
  5. Combine results: Put tens and ones together
Tip 1: Look for key words like "total," "altogether," "in all," "combined," "sum" to identify addition problems
Tip 2: Before solving, always check if the ones digits add up to less than 10 to confirm no regrouping is needed
Tip 3: Draw a picture or use base-10 blocks to help visualize the problem
Tip 4: After solving, reread the problem to make sure your answer makes sense in the context
Common errors: Misreading the problem, forgetting to check if regrouping is needed, adding tens and ones together before completing operations.
Success habits: Regular practice with word problems, visualizing with manipulatives, checking answers against the problem context.
Two digit addition no regrouping rules:

• When adding ones digits: if sum < 10, no regrouping needed

• Add tens and ones separately

• Combine the sums at the end

• Always check your answer makes sense in the context of the problem

• Look for key words that indicate addition is needed

Two Digit Addition No Regrouping Workflow

🔢
Step-by-Step Process
1
Read problem
2
Identify numbers
3
Check regrouping
4
Add by place
5
Combine results
No Regrouping Visualization
When ones digits sum to less than 10, we can add tens and ones separately without needing to carry.
Master Word Problems for Real-World Math Success!

Questions & Answers

Question: How do I know if I need to regroup or not in word problems?

Answer: Great question! To know if you need to regroup:

  • Add the ones digits only: Look at just the ones place of each number
  • Check the sum: If the ones digits add up to 9 or less, NO regrouping is needed
  • Check the sum: If the ones digits add up to 10 or more, YES regrouping is needed

For example: 24 + 35 → ones are 4 + 5 = 9 (no regrouping needed)
But: 27 + 35 → ones are 7 + 5 = 12 (regrouping needed)

Always check this BEFORE you start adding the tens!

Question: How can I help my child practice two digit addition no regrouping word problems at home?

Answer: Here are effective ways to practice two digit addition no regrouping word problems at home:

  • Create real-life scenarios: Use toys, snacks, or books to make problems tangible
  • Use visual aids: Draw pictures or use base-10 blocks to represent the numbers
  • Practice key words: Teach your child to identify words like "total," "altogether," "in all"
  • Start simple: Begin with problems where the ones digits add up to small numbers

For example: "You have 23 crayons and find 15 more. How many do you have now?" Let your child use actual crayons to solve.

Make it fun and connect math to activities your child enjoys!

Question: What if I see a word problem but I'm not sure if I need to add or subtract?

Answer: Look for clue words to help you decide:

  • Addition clues: total, altogether, in all, combined, sum, both, together, increased by
  • Subtraction clues: difference, fewer, less, left, remaining, take away, gave away, decreased by

For example:
"Sarah has 24 pencils and Tom has 35 pencils. How many do they have altogether?" → ADDITION (altogether)
"Sarah had 24 pencils and gave 5 away. How many does she have left?" → SUBTRACTION (left)

If you're still unsure, try reading the problem again and think: "Am I putting things together or taking some away?"